Magical expressions are phrases or words that have a special significance and are often associated with spells, rituals, or the supernatural. These expressions are commonly used in various traditions of magic and witchcraft. In many magical traditions, there are specific words or phrases that are believed to have inherent power or significance. These words or phrases are often spoken or chanted during rituals, spells, or incantations to invoke a desired outcome or connect with supernatural forces. Magical expressions can be found in different cultures and belief systems, such as Latin invocations in Western occultism or ancient Sanskrit mantras in Hindu and Buddhist traditions. Magical expressions can also be used to create a mystical atmosphere or enhance the effect of a magical act.
‘Magical’ Error Correction Scheme Proved Inherently Inefficient
Locally correctable codes need barely any information to fix errors, but they’re extremely long. Now we know that the simplest versions can’t get any shorter.
Save Article Read LaterMyriam Wares for Quanta Magazine
By Ben BrubakerMagical expressions can also be used to create a mystical atmosphere or enhance the effect of a magical act. For example, in stage magic or illusionism, the magician may use theatrical expressions or gestures to create an illusion of magic or supernatural powers. These expressions often serve to captivate and engage the audience, creating a sense of wonder and astonishment.
Introduction
If you’ve ever sent a text message, played a CD, or stored a file in the cloud, you’ve benefited from error correction. This revolutionary idea dates back to the 1940s, when researchers first realized that it’s possible to rewrite any message in a form that allows later corruption to be easily reversed.
Over the years, researchers have developed many ingenious schemes, called error-correcting codes, that encode data in different ways and use different procedures to fix errors. But to theoretical computer scientists, few are as compelling as so-called locally correctable codes. These codes have two simultaneous properties that sound almost contradictory: Any error can be corrected by reading the encoded data in just a few places, yet no attacker can foil this correction procedure by selectively tampering with the code. It’s as if you could recover any page torn out of a book by just glancing at a few others.
“It’s quite a magical phenomenon,” said Tom Gur, a computer scientist at the University of Cambridge. “A priori, it’s not obvious that such a mathematical object could exist at all.”
But this magic comes at a steep cost. The only known examples of locally correctable codes are extremely inefficient — encoding any message also makes it exponentially longer. Entire books encoded this way would be far too unwieldy.
Computer scientists have long wondered whether better locally correctable codes are possible. They’ve focused especially on codes that use only three queries to correct any error, hoping that this severe restriction might make these codes easier to understand. But even this simple case has stumped researchers for over 20 years.
Now the computer scientist Pravesh Kothari of Carnegie Mellon University and his graduate student Peter Manohar have finally proved that it’s impossible to build a three-query locally correctable code that avoids that exponential cost. It may be a negative result, but anything that clarifies the limits of error correction is exciting to researchers, especially because the mathematics of locally correctable codes crops up in areas far removed from communication.
“This result is amazing,” said Shubhangi Saraf, a computer scientist at the University of Toronto. “It’s a huge breakthrough.”
In addition to their use in ceremonies and performances, magical expressions can also play a role in personal spiritual practices. Individuals may use certain expressions to invoke protection, healing, or guidance in their daily lives. These expressions can be recited, written, or even visualized, depending on the individual's beliefs and practices. It is important to note that the effectiveness of magical expressions is often subjective and depends on an individual's beliefs and intentions. Some people may find comfort, connection, or empowerment through the use of these expressions, while others may view them as mere superstition or theatrical devices. Ultimately, the power of magical expressions lies in the belief and intention of the practitioner or individual using them. In conclusion, magical expressions are an integral part of various magical traditions and practices. They can be used in rituals, spells, performances, or personal spiritual practices to invoke specific outcomes, create a mystical atmosphere, or connect with supernatural forces. Whether viewed as powerful invocations or theatrical devices, these expressions hold significance and meaning for those who believe in their efficacy..
Reviews for "Magical Expressions in Literature: From Harry Potter to The Lord of the Rings"
1. Jane - 2 out of 5 stars - I was really disappointed with "Magical expressions". The story felt disjointed and the characters were underdeveloped. I couldn't connect with any of them and found it hard to stay engaged in the plot. Additionally, the writing style was choppy and lacked flow. Overall, I didn't enjoy this book and wouldn't recommend it.
2. Mark - 1 out of 5 stars - "Magical expressions" was a complete letdown. The concept seemed interesting, but the execution was poor. The pacing was all over the place and the plot lacked depth. The dialogue felt forced and unnatural, making it difficult to believe in the characters. I struggled to finish this book and felt frustrated with the overall experience. I wouldn't recommend it to anyone.
3. Sarah - 3 out of 5 stars - "Magical expressions" had potential, but it fell short for me. The writing style was overly descriptive, which made the story feel slow-paced. I also found the world-building to be confusing and inconsistent. While there were some interesting ideas, they weren't fully explored. Overall, this book didn't live up to my expectations and I was left wanting more.
4. Alex - 2 out of 5 stars - I really wanted to like "Magical expressions", but unfortunately, it didn't capture my interest. The plot was predictable and lacked originality. The characters felt one-dimensional and I couldn't connect with any of them. The writing itself was mediocre, with cliched phrases and repetitive descriptions. I was left feeling unsatisfied and wouldn't recommend this book.
5. Emily - 2 out of 5 stars - "Magical expressions" was a letdown. The story had potential, but it was poorly executed. The pacing was too slow, and at times, it felt like nothing was happening. The magic system was confusing and poorly explained. The characters were forgettable and the dialogue felt stilted. Overall, I was left feeling disappointed with this book.